Similarity solutions for a multi-dimensional replicator dynamics equation

DOI10.1016/j.na.2009.01.227zbMath1178.35220OpenAlexW2060163213MaRDI QIDQ923979

George Smyrlis, Vassilis G. Papanicolaou

Publication date: 24 July 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.01.227

zbMATH Keywords

nonlocal termone-parameter family of solutions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Self-similar solutions to PDEs (35C06)

Related Items (6)

Equilibration of unit mass solutions to a degenerate parabolic equation with a nonlocal gradient nonlinearity ⋮ On a Degenerate Nonlocal Parabolic Problem Describing Infinite Dimensional Replicator Dynamics ⋮ On a class of operator equations arising in infinite dimensional replicator dynamics ⋮ Counterintuitive dependence of temporal asymptotics on initial decay in a nonlocal degenerate parabolic equation arising in game theory ⋮ The replicator dynamics for games in metric spaces: finite approximations ⋮ Similarity solutions of a multidimensional replicator dynamics integrodifferential equation

Cites Work

• Dynamical aspects of evolutionary stability
• Models of the evolution of altruism
• Evolutionarily stable strategies and game dynamics
• The long-run behavior of the stochastic replicator dynamics
• On the dynamic foundation of evolutionary stability in continuous models.
• Similarity solutions for a replicator dynamics equation
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
• Evolutionary dynamics on infinite strategy spaces

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